Friday, February 1, 2008

Mathematics and art blend in ecstasy

In and Outside the Torus

Can anyone imagine what this image looks like by reading the description?

"[this] is an interior view of a cyclide of Dupin, a torus on a three-dimensional sphere in four-space projected stereographically from a point on the torus itself, leading to a third-order algebraic surface expressed as a union of circles (and four straight lines). These curves are orbits of a Hamiltonian dynamical system and the fibers over a great circle of the Hopf mapping from the three-sphere to the two-sphere"
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